4448134656 has 320 divisors, whose sum is σ = 15412108800. Its totient is φ = 1240178688.

The previous prime is 4448134597. The next prime is 4448134687. The reversal of 4448134656 is 6564318444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4160490 + ... + 4161558.

It is an arithmetic number, because the mean of its divisors is an integer number (48162840).

Almost surely, 2^4448134656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4448134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706054400).

4448134656 is an abundant number, since it is smaller than the sum of its proper divisors (10963974144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4448134656 is a wasteful number, since it uses less digits than its factorization.

4448134656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1124 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4448134656 is about 66694.3375107662. The cubic root of 4448134656 is about 1644.5962992196.

The spelling of 4448134656 in words is "four billion, four hundred forty-eight million, one hundred thirty-four thousand, six hundred fifty-six".